Chapter 5.2, Problem 18E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

To determine

**To find:**

The volume of the solid obtained by rotating the region bounded by the given curves about the specified line and sketch the region, the solid and a typical disk or washer.

Explanation

**1) Concept:**

i. If the cross section is a washer with inner radius

ii. The volume of the solid revolution about the

**2) Given:**

**3) Calculation:**

The region is bounded by

From above figure, for

So itâ€™scross sectional area is,

Similarly, for

So its area is given by,

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